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C₂₃×#1722 #15669341

• nilpotent
• supersolvable
• metabelian
• solvable
• monomial

Aliases

Subgroups

198 conjugacy classes of subgroups.

Full subgroup data →

Presentation

A minimal faithful permutation representation — 3 generators on 47 points:

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23)(25,28)(26,29)(30,31)(32,33,36,39)(34,40,41,47)(35,43,44,38)(37,45,46,42);(32,34,35,42,36,41,44,45)(33,37,38,40,39,46,43,47);(24,25,29,31,27,30,26,28)(34,41)(37,46)(40,47)(42,45)

Conjugacy classes & character table

598 conjugacy classes — view the full character table.

Relationships

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(2944, 454);